It will be great to have some mechanism in Zabbix to have an opportunity of automatical problems closing, for example - close all problems older that 14 days of current date

In case of big installations with high problem generation frequency it would be really useful, because zabbix could provide a tool to implement buisness-process logic of incident management

trigger level function are welcome too. Like this one to close active problem after 30 minutes:

{host:key.inproblem(30m)}=1